Pith Number

pith:ZRIZIYKA

pith:2017:ZRIZIYKAWLXZ4VMETS46IRS5JG

not attested not anchored not stored refs pending

Twisted moments of L-functions and spectral reciprocity

Rizwanur Khan, Valentin Blomer

arxiv:1706.01245 v2 · 2017-06-05 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRIZIYKAWLXZ4VMETS46IRS5JG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:45:00.157623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc51946140b2ef9e55849cb9e4465d49ba0d46ccb2ee33be8c6c6687def25f25

Aliases

arxiv: 1706.01245 · arxiv_version: 1706.01245v2 · doi: 10.48550/arxiv.1706.01245 · pith_short_12: ZRIZIYKAWLXZ · pith_short_16: ZRIZIYKAWLXZ4VME · pith_short_8: ZRIZIYKA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZRIZIYKAWLXZ4VMETS46IRS5JG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cc51946140b2ef9e55849cb9e4465d49ba0d46ccb2ee33be8c6c6687def25f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "777fdfcd957da7438e25a8d920f433ed09268513431263c14ee245a34830c494",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-05T09:09:08Z",
    "title_canon_sha256": "d9d1fb42666f7cf43110235b77277072b4da889f8d2a08f264fda11ce1b9539d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01245",
    "kind": "arxiv",
    "version": 2
  }
}